6171977952 has 192 divisors, whose sum is σ = 20614809600. Its totient is φ = 1759864320.

The previous prime is 6171977921. The next prime is 6171977969. The reversal of 6171977952 is 2597791716.

It is a happy number.

6171977952 is a `hidden beast` number, since 617 + 19 + 7 + 7 + 9 + 5 + 2 = 666.

It is a super-3 number, since 3×6171977952³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5013177 + ... + 5014407.

It is an arithmetic number, because the mean of its divisors is an integer number (107368800).

Almost surely, 2^6171977952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6171977952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307404800).

6171977952 is an abundant number, since it is smaller than the sum of its proper divisors (14442831648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6171977952 is a wasteful number, since it uses less digits than its factorization.

6171977952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2072 counting only the distinct ones).

The product of its digits is 1666980, while the sum is 54.

The square root of 6171977952 is about 78561.9370433291. The cubic root of 6171977952 is about 1834.3186795169.

The spelling of 6171977952 in words is "six billion, one hundred seventy-one million, nine hundred seventy-seven thousand, nine hundred fifty-two".